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3458052 = 223413821
BaseRepresentation
bin1101001100010000000100
320111200120000
431030100010
51341124202
6202041300
741251533
oct15142004
96450500
103458052
111a520a4
1211a9230
13940cb0
1466031a
1548491c
hex34c404

3458052 has 60 divisors (see below), whose sum is σ = 9747276. Its totient is φ = 1062720.

The previous prime is 3457999. The next prime is 3458053. The reversal of 3458052 is 2508543.

3458052 is a `hidden beast` number, since 34 + 580 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 715716 + 2742336 = 846^2 + 1656^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3458053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3802 + ... + 4622.

Almost surely, 23458052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3458052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4873638).

3458052 is an abundant number, since it is smaller than the sum of its proper divisors (6289224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3458052 is a wasteful number, since it uses less digits than its factorization.

3458052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 3458052 is about 1859.5838244080. The cubic root of 3458052 is about 151.2204431920.

The spelling of 3458052 in words is "three million, four hundred fifty-eight thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 351 468 702 821 1053 1404 1642 2106 2463 3284 4212 4926 7389 9852 10673 14778 21346 22167 29556 32019 42692 44334 64038 66501 88668 96057 128076 133002 192114 266004 288171 384228 576342 864513 1152684 1729026 3458052